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Finding the Third Proportional to 277,712 and 597,616

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Solution

The third proportional to 277,712 and 597,616 is: 1,286,026.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,712 : 597,616 = 597,616 : x
  2. Step 2: Convert to fraction form
    277,712/597,616 = 597,616/x
  3. Step 3: Cross multiply
    277,712x = 597,616 × 597,616
  4. Step 4: Simplify right side
    277,712x = 357,144,883,456
  5. Step 5: Solve for x
    x = 357,144,883,456/277,712
  6. Step 6: Final answer
    x = 1,286,026.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.